Ratios, Rates and Proportional Reasoning Percent, Percent ...

ADV Unit 2

Ratios, Rates and Proportional Reasoning

Ratios Unit Rate Proportions Percents Measurement Conversion

Name: Math Teacher:

Pg.1a

Unit 2 Pacing

Week of 9/20:

Pre-Test, Ratios, Ratio Tables, Unit Rate, COMPUTER LAB DAY

Week of 9/27:

NO SCHOOL ? Fall Break

Week of 10/4:

Solving Proportions, Proportions and Problem Solving, QUIZ

Week of 10/11:

COMPUTER LAB DAY Percent of a Number, Whole if Given Percent, Percent Problem Solving, QUIZ,

Week 10/18:

Review, Post Test & TEST

IXL Login () USERNAME (student ID@ecms): PASSWORD (student ID): Other Login Information SITE: USERNAME: PASSWORD: SITE: USERNAME: PASSWORD:

pg. 1b

Unit 2: Rate, Ratio and Proportional Reasoning Standards, Checklist and Concept Map

Georgia Standards of Excellence (GSE):

MGSE6.RP.1: Understand the concept of a ratio and use ratio language to describe a ratio between two quantities. For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak." "For every vote Candidate A received, Candidate C received nearly 3 votes."

MGSE6.RP.2: Understand the concept of a unit rate a/b associated with a ratio a:b with b 0, and use rate language in the context of a ratio relationship. For example, "This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is ? cup of flour for each cup of sugar."

MGSE6.RP.3b: Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, at that rate, how many lawns could be mowed in 35 hours?

MGSE6.RP.3 : Use ratio and rate reasoning to solve real-world mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

MGSE6.RP.3a : Make tables of equivalent ratios relating quantities with wholenumber measurements, find missing values in tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

MGSE6.RP.3c : Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

MGSE6.RP.3d : Use ratio and rate reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

What Will I Need to Learn??

________ I can understand ratios ________ I can understand unit rates ________ I can solve unit rate problems ________ I can make tables of equivalent ratios, find missing values, and plot points

in a coordinate plane; compare ratios in a table ________ I can solve problems with tables, tape or number line diagrams, or

equations ________ I can find percent of a number ________ I can find the whole when given part and % ________ I can convert Metric units ________ I can convert Customary units

Unit 2 Circle Map: On the left page, make a Circle Map of important vocab and topics

from the standards listed above.

Pg.2a

Unit 2 IXL Tracking Log

Skill R.1 (Write a Ratio) R.2 (Write a Ratio Using a Fraction) R.3 (Write a Ratio: Word Problems) R.4 (Which Model Represents the Ratio?) R.5 (Identify Equivalent Ratios) R.6 (Write an Equivalent Ratio) R.7 (Ratio Tables) R.9 (Unit Rates) R.10 (Equivalent Rates) R.15 (Ratios and Rates: Word Problems) R.16 (Do the ratios form a proportion?) R.17 (Solve the Proportion) R.22 (Scale Drawings: Word Problems) S.1 (What Percent is Illustrated?) S.4 (Convert Between Percents, Fractions and Decimals) S.6 (Compare Percents to Each Other and to Fractions) S.8 (Find what percent one number is of another) S.10 (Percents of Numbers and Money Amounts) S.13 (Find What Percent One Number is of Another ? Word Problems) S.15 (Find the Total Give a Part and a Percent) S.16 (Solve Percent Problems) S.17 (Solve Percent Word Problems) T.3 (Convert and Compare Customary Units) T.7 (Convert and Compare Metric Units) T.8 (Convert Customary and Metric Units Using Proportions)

Your Score

pg. 2b

Unit 2 - Vocabulary

Term

Definition

Customary System

The primary system of measurement used in the US, which uses a variety of conversions

Double Number Line Diagram

A visual model used to solve unit rate problems and proportions

Metric System

The system of measurement that uses a base10 model; used by most countries

Percent

Number out of 100

Proportion Rate Ratio Unit Rate Pg.3a

An equation of equivalent ratios

A ratio that compares quantities measured in different units

A comparison of two numbers

A comparison of two measurements in which one of the terms has a value of 1

Unit 2 ? Vocabulary ? You Try

Term

Definition

Illustration or Example

Customary System

Double Number Line Diagram

Metric System

Percent

Proportion

Rate

Ratio

Unit Rate

pg. 3b

Math 6 ? Unit 2: Rates, Ratios & Proportional Reasoning Review

Knowledge and Understanding

1. What is a ratio?

2. What is a rate?

3. What is a unit rate?

4. What is a percent?

Proficiency of Skills

5. Fill in the ratio table:

9

18

45

12

36

48

6. 80 is 25% of what number? __________

7. Find 30% of 70. __________

8.

Find the value of x.

15 =

25 30

__________

9. Write the ratio as a unit rate: $27 for 9 tickets. __________

Application

10. Jaden drove 260 miles in 4 hours. Jada drove 210 miles in 3 hours. Who drove at the fastest rate of speed? How do you know? a. Who drove the fastest? __________ b. How do you know?

11. A circus elephant is going to stand on a ball. Lulu the Elephant weighs 2 Tons. If the ball can hold up to 3,000 pounds, will Lulu make it? Explain your answer.

12. The table below shows the number of each item sold at the concession stand. What might the ratio 3:4 represent?

Item

Quantity Sold

Popcorn

20

Nachos

15

Hot Dog

25

Candy Bar

30

11. The ratio of boys to girls in a class is 4:8. If there are 24 students in the class, how many are boys?

12. In a class of 40 students, 30% DID return their permission slips for the school field trip. How many students did NOT return their permission slips?

13. The table below shows the cost for varying number of books. If the rate stays the same, determine the value of n.

Number of Books

Cost

6

$24

10

$40

12

$48

20

N

Pg.4a

pg. 4b

14. PBIS Middle School held a car wash as a fundraiser. Out of the 50 vehicles that were washed, 15 were trucks. What percent were trucks?

15. The graph below compares cups to pints. Which of the following ordered pairs would also satisfy this relationship?

A. (1, 2)

B. (2, 4)

C. (2, 0)

D. (4, 2)

16. Michael's paycheck last week was $146.50. He would like to

put 20% of his earnings in his savings account. How much

money should he put in his savings account?

a. $5.0 2

b. $15.2 2

c. $29.3 0

d. $88.2 7

17. The prices of 4 different bottles of lotion are given in the

table. Which size bottle is the BEST value?

Size

Price

25 ounces 15 ounces

$4.50 $1.80

A. The 25-oz bottle B. The 15-oz bottle C. They both have the same unit price D. Neither

18. Driving at a constant speed, Daisy drove 240 miles in 6 hours. How far would she drive in 1 hour? 15 hours?

19. Chompers is 76 cm long. How many mm is this?

a. .76 mm

b. 7.6 mm c. 760 mm

7,600 mm

Pg.5a

pg. 5b

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